An Open Thread: a place for things foolishly April, and other assorted discussions.
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This might be interesting in combination with the a "balanced drive". They were invented by science fiction author Charles Sheffield who attributed them his character Arthur Morton McAndrew so they are sometimes also called a "McAndrew Drive" or a "Sheffield Drive".
The basic trick is to put an incredibly dense mass at the end of a giant pole such that the inverse square law of gravity is significant along the length of the pole. The ship flies "mass forward" through space. Then the crew cabin (and anything else incapable of surviving enormous acceleration) is set up on the pole so that the faster the acceleration the closer it is to the mass. The cabin, flying "floor forward", changes its position while the floor flexes as needed so that the net effect of the ship's acceleration plus the force of gravity balance out to something tolerable. When not under acceleration you still get gravity in the cabin by pushing it out to very tip of the pole.
The literary value of the system is that you can do reasonably hard science fiction and still have characters jaunt from star to star so long as they are willing to put up with the social isolation because of time dilation, but the hard part is explaining what the mass at the end of the pole is, and where you'd get the energy to move it.
If you could feed a black hole enough to serve as the mass while retaining the ability to generate Hawking radiation, that might do it. Or perhaps simply postulating technological control of quantum black holes and then use two in your ship: a big one to counteract acceleration and a small one to get energy from a "Crane-Westmoreland Generator".